Consider X ={1,2 }. The number of different order

Question

Consider X ={1,2 }. The number of different ordered pairs(Y,Z) that can be formed such that Y and Z are subsets of X and Y intersection Z is empty, is?..Please, solve this manually, means i need those subsets and ordered pairs..

Rajat · Accepted Answer

Number of subsets of X = 22=4Which are , {1}, {2}, {1,2}Say Y= Then Z can be {1},{2},{1,2}Thus we get 3 ordered pairsSimilarly 3 more when Z= In total 6 when either Y or Z is phi.Now let the cases when none of them is phi.None of them can be {1,2} since intersection is null.Therefore only two possibilities of (X,Y)= ({1},{2}) or ({2},{1})In total we can have 3+3+2= 8 ordered pairs Kindly upvote!

Algebra> Consider X ={1,2 }. The number of differe...

Consider X ={1,2 }. The number of different ordered pairs(Y,Z) that can be formed such that Y and Z are subsets of X and Y intersection Z is empty, is?..Please, solve this manually, means i need those subsets and ordered pairs..

Rudru , 5 Years ago

Rajat

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Algebra> Consider X ={1,2 }. The number of differe...

Consider X ={1,2 }. The number of different ordered pairs(Y,Z) that can be formed such that Y and Z are subsets of X and Y intersection Z is empty, is?..Please, solve this manually, means i need those subsets and ordered pairs..

Rudru , 5 Years ago

Rajat

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